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Finding the Fourth Proportional to 147.36, 203.24 and 98.24

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Solution

The fourth proportional to 147.36, 203.24 and 98.24 is: 135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 203.24 = 98.24 : x
  2. Step 2: Convert to fraction form
    147.36/203.24 = 98.24/x
  3. Step 3: Cross multiply
    147.36x = 203.24 × 98.24
  4. Step 4: Simplify right side
    147.36x = 19,966.30
  5. Step 5: Solve for x
    x = 19,966.30/147.36
  6. Step 6: Final answer
    x = 135.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.